Mathematics is really an art, not a science. You could say science also is an art. So I would say the difference is something you can't really describe - you can only recognize. You hear somebody playing the violin, and it was Fritz Kreisler or it was somebody else, and you can tell the difference. It is so in almost every art. We just don't understand why it is that there are just a few people who are just completely off the scale and the rest of them are just mediocre. And we don't know why. But I say it's certainly true of mathematics.
Freeman DysonTheory said one thing and the experiment said something different, so that was the stimulus that started me going, that there was something there to be explained, which wasn't understood and to try to see why that experiment gave the answer it did, so it was a big opportunity for a young student starting to have actually an experiment which contradicted the theory, so that's was my chance to understand that.
Freeman DysonThere is nothing so big nor so crazy that one out of a million technological societies may not feel itself driven to do, provided it is physically possible.
Freeman Dyson